{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import lead_lag\n",
    "\n",
    "from lead_lag.scripts.read_bitcoin_data import bitcoin_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reading data/bitflyerJPY_2018-08-12_small.csv\n",
      "Reading data/btcboxJPY_2018-08-12_small.csv\n"
     ]
    }
   ],
   "source": [
    "bitflyer_with_ts, btcbox_with_ts = bitcoin_data('../data/bitflyerJPY_2018-08-12_small.csv',\n",
    "                                                '../data/btcboxJPY_2018-08-12_small.csv')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ll = lead_lag.LeadLag(arr_1_with_ts=bitflyer_with_ts,\n",
    "                      arr_2_with_ts=btcbox_with_ts,\n",
    "                      max_absolute_lag=60,\n",
    "                      verbose=False)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running fast_inference() on [-60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60] with 8 threads.\n"
     ]
    }
   ],
   "source": [
    "ll.run_inference()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimated lag (in seconds): 15\n",
      "Positive means bitflyer is leading.\n",
      "11.729305028915405 seconds\n"
     ]
    }
   ],
   "source": [
    "ll.contrasts\n",
    "print('Estimated lag (in seconds):', ll.lead_lag)\n",
    "print('Positive means bitflyer is leading.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11.729305028915405"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ll.inference_time # in seconds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.807757656221556"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ll.llr # cf. Paper"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ll.plot_data(legend=['Bitflyer', 'Btcbox'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ll.plot_results()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
